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Finding the Third Proportional to 266,494.50 and 572,517

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Solution

The third proportional to 266,494.50 and 572,517 is: 1,229,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,494.50 : 572,517 = 572,517 : x
  2. Step 2: Convert to fraction form
    266,494.50/572,517 = 572,517/x
  3. Step 3: Cross multiply
    266,494.50x = 572,517 × 572,517
  4. Step 4: Simplify right side
    266,494.50x = 327,775,715,289
  5. Step 5: Solve for x
    x = 327,775,715,289/266,494.50
  6. Step 6: Final answer
    x = 1,229,953.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.